Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Euclidean_geometry> ?p ?o }
- Euclidean_geometry abstract "Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. The Elements begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, explained in geometrical language.For more than two thousand years, the adjective "Euclidean" was unnecessary because no other sort of geometry had been conceived. Euclid's axioms seemed so intuitively obvious (with the possible exception of the parallel postulate) that any theorem proved from them was deemed true in an absolute, often metaphysical, sense. Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Albert Einstein's theory of general relativity is that physical space itself is not Euclidean, and Euclidean space is a good approximation for it only where the gravitational field is weak.Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms to propositions without the use of coordinates. This is in contrast to analytic geometry, which uses coordinates.".
- Euclidean_geometry thumbnail Sanzio_01_Euclid.jpg?width=300.
- Euclidean_geometry wikiPageExternalLink geometryunbound.
- Euclidean_geometry wikiPageID "9417".
- Euclidean_geometry wikiPageLength "51575".
- Euclidean_geometry wikiPageOutDegree "207".
- Euclidean_geometry wikiPageRevisionID "683030388".
- Euclidean_geometry wikiPageWikiLink Abraham_Robinson.
- Euclidean_geometry wikiPageWikiLink Affine_geometry.
- Euclidean_geometry wikiPageWikiLink Albert_Einstein.
- Euclidean_geometry wikiPageWikiLink Alessandro_Padoa.
- Euclidean_geometry wikiPageWikiLink Alexandria.
- Euclidean_geometry wikiPageWikiLink Alfred_Tarski.
- Euclidean_geometry wikiPageWikiLink Algebra.
- Euclidean_geometry wikiPageWikiLink Analytic_geometry.
- Euclidean_geometry wikiPageWikiLink Andrey_Kolmogorov.
- Euclidean_geometry wikiPageWikiLink Angle.
- Euclidean_geometry wikiPageWikiLink Angle_bisector_theorem.
- Euclidean_geometry wikiPageWikiLink Angle_trisection.
- Euclidean_geometry wikiPageWikiLink Apollonius_of_Perga.
- Euclidean_geometry wikiPageWikiLink Archimedean_property.
- Euclidean_geometry wikiPageWikiLink Archimedes.
- Euclidean_geometry wikiPageWikiLink Architecture.
- Euclidean_geometry wikiPageWikiLink Area.
- Euclidean_geometry wikiPageWikiLink Area_(geometry).
- Euclidean_geometry wikiPageWikiLink August_Ferdinand_Möbius.
- Euclidean_geometry wikiPageWikiLink Axiom.
- Euclidean_geometry wikiPageWikiLink Axiomatic_system.
- Euclidean_geometry wikiPageWikiLink Axioms.
- Euclidean_geometry wikiPageWikiLink Bertrand_Russell.
- Euclidean_geometry wikiPageWikiLink Birkhoffs_axioms.
- Euclidean_geometry wikiPageWikiLink Bounded_function.
- Euclidean_geometry wikiPageWikiLink Butterfly_theorem.
- Euclidean_geometry wikiPageWikiLink Cartesian_coordinate_system.
- Euclidean_geometry wikiPageWikiLink Category:Elementary_geometry.
- Euclidean_geometry wikiPageWikiLink Category:Euclidean_geometry.
- Euclidean_geometry wikiPageWikiLink Cevas_theorem.
- Euclidean_geometry wikiPageWikiLink Circle.
- Euclidean_geometry wikiPageWikiLink Classical_logic.
- Euclidean_geometry wikiPageWikiLink Compass-and-straightedge_construction.
- Euclidean_geometry wikiPageWikiLink Compass_and_straightedge.
- Euclidean_geometry wikiPageWikiLink Compass_and_straightedge_constructions.
- Euclidean_geometry wikiPageWikiLink Complementary_angles.
- Euclidean_geometry wikiPageWikiLink Congruence_(geometry).
- Euclidean_geometry wikiPageWikiLink Consistency.
- Euclidean_geometry wikiPageWikiLink Constructive_proof.
- Euclidean_geometry wikiPageWikiLink Constructive_type_theory.
- Euclidean_geometry wikiPageWikiLink Coordinate_system.
- Euclidean_geometry wikiPageWikiLink Corresponding_sides.
- Euclidean_geometry wikiPageWikiLink Corresponding_sides_and_corresponding_angles.
- Euclidean_geometry wikiPageWikiLink Curvature.
- Euclidean_geometry wikiPageWikiLink Decidability_(logic).
- Euclidean_geometry wikiPageWikiLink Degree_(angle).
- Euclidean_geometry wikiPageWikiLink Doubling_the_cube.
- Euclidean_geometry wikiPageWikiLink Dumpy_level.
- Euclidean_geometry wikiPageWikiLink Einstein.
- Euclidean_geometry wikiPageWikiLink Eleatic_School.
- Euclidean_geometry wikiPageWikiLink Eleatics.
- Euclidean_geometry wikiPageWikiLink Elliptic_geometry.
- Euclidean_geometry wikiPageWikiLink Error_detection_and_correction.
- Euclidean_geometry wikiPageWikiLink Euclid.
- Euclidean_geometry wikiPageWikiLink Euclidean_distance.
- Euclidean_geometry wikiPageWikiLink Euclids_Elements.
- Euclidean_geometry wikiPageWikiLink Existence_theorem.
- Euclidean_geometry wikiPageWikiLink First-order_logic.
- Euclidean_geometry wikiPageWikiLink Formal_system.
- Euclidean_geometry wikiPageWikiLink Formalism_(mathematics).
- Euclidean_geometry wikiPageWikiLink Foundationalism.
- Euclidean_geometry wikiPageWikiLink General_relativity.
- Euclidean_geometry wikiPageWikiLink Geometric_optics.
- Euclidean_geometry wikiPageWikiLink Geometric_series.
- Euclidean_geometry wikiPageWikiLink Geometrical_optics.
- Euclidean_geometry wikiPageWikiLink Geometry.
- Euclidean_geometry wikiPageWikiLink Girard_Desargues.
- Euclidean_geometry wikiPageWikiLink Giuseppe_Peano.
- Euclidean_geometry wikiPageWikiLink Giuseppe_Veronese.
- Euclidean_geometry wikiPageWikiLink Global_Positioning_System.
- Euclidean_geometry wikiPageWikiLink Gottfried_Leibniz.
- Euclidean_geometry wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
- Euclidean_geometry wikiPageWikiLink Gravity.
- Euclidean_geometry wikiPageWikiLink Greek_mathematics.
- Euclidean_geometry wikiPageWikiLink Gunters_chain.
- Euclidean_geometry wikiPageWikiLink Gxc3xb6dels_incompleteness_theorems.
- Euclidean_geometry wikiPageWikiLink Herons_formula.
- Euclidean_geometry wikiPageWikiLink Hilberts_axioms.
- Euclidean_geometry wikiPageWikiLink Homogeneity_and_heterogeneity.
- Euclidean_geometry wikiPageWikiLink Homogeneous.
- Euclidean_geometry wikiPageWikiLink Incidence_geometry.
- Euclidean_geometry wikiPageWikiLink Infinitesimal.
- Euclidean_geometry wikiPageWikiLink Infinitesimals.
- Euclidean_geometry wikiPageWikiLink Infinity.
- Euclidean_geometry wikiPageWikiLink Intrinsic_curvature.
- Euclidean_geometry wikiPageWikiLink Intuitionistic_type_theory.
- Euclidean_geometry wikiPageWikiLink Irrational_number.
- Euclidean_geometry wikiPageWikiLink Isaac_Newton.
- Euclidean_geometry wikiPageWikiLink Isotropic.
- Euclidean_geometry wikiPageWikiLink Isotropy.
- Euclidean_geometry wikiPageWikiLink János_Bolyai.
- Euclidean_geometry wikiPageWikiLink Kolmogorov.
- Euclidean_geometry wikiPageWikiLink Lazare_Carnot.